{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "87be8daf",
   "metadata": {},
   "outputs": [],
   "source": [
    "#Affine\n",
    "def affine(img,a,b,c,d,tx,ty):\n",
    "\tH,W,C=img.shape\n",
    "\n",
    "\t#temporaryimage\n",
    "\timg=np.zeros((H+2,W+2,C),dtype=np.float32)\n",
    "\timg[1:H+1,1:W+1]=_img\n",
    "\n",
    "\t#getnewimageshape\n",
    "\tH_new=np.round(H*d).astype(np.int)\n",
    "\tW_new=np.round(W*a).astype(np.int)\n",
    "\tout=np.zeros((H_new+1,W_new+1,C),dtype=np.float32)\n",
    "\t#getpositionofnewimage\n",
    "\tx_new=np.tile(np.arange(W_new),(H_new,1))\n",
    "\ty_new=np.arange(H_new).repeat(W_new).reshape(H_new,-1)\n",
    "\n",
    "\t#getpositionoforiginalimagebyaffine\n",
    "\tadbc=a*d-b*c\n",
    "\tx=np.round((d*x_new-b*y_new)/adbc).astype(np.int)-tx+1\n",
    "\ty=np.round((-c*x_new+a*y_new)/adbc).astype(np.int)-ty+1\n",
    "\n",
    "\tx=np.minimum(np.maximum(x,0),W+1).astype(np.int)\n",
    "\ty=np.minimum(np.maximum(y,0),H+1).astype(np.int)\n",
    "\n",
    "\t#assginpixceltonewimage\n",
    "\tout[y_new,x_new]=img[y,x]\n",
    "\n",
    "\tout=out[:H_new,:W_new]\n",
    "\tout=out.astype(np.uint8)\n",
    "\n",
    "\treturn out\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "04e702bd",
   "metadata": {},
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8e8918d4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# _img = cv2.imread(\"imori.jpg\").astype(np.int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1d9d9a59",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "437be980",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "d:\\hongpu_workspace\\hongpu_wheel\\env\\lib\\site-packages\\ipykernel_launcher.py:10: DeprecationWarning: `np.int` is a deprecated alias for the builtin `int`. To silence this warning, use `int` by itself. Doing this will not modify any behavior and is safe. When replacing `np.int`, you may wish to use e.g. `np.int64` or `np.int32` to specify the precision. If you wish to review your current use, check the release note link for additional information.\n",
      "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
      "  # Remove the CWD from sys.path while we load stuff.\n",
      "d:\\hongpu_workspace\\hongpu_wheel\\env\\lib\\site-packages\\ipykernel_launcher.py:11: DeprecationWarning: `np.int` is a deprecated alias for the builtin `int`. To silence this warning, use `int` by itself. Doing this will not modify any behavior and is safe. When replacing `np.int`, you may wish to use e.g. `np.int64` or `np.int32` to specify the precision. If you wish to review your current use, check the release note link for additional information.\n",
      "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
      "  # This is added back by InteractiveShellApp.init_path()\n",
      "d:\\hongpu_workspace\\hongpu_wheel\\env\\lib\\site-packages\\ipykernel_launcher.py:19: DeprecationWarning: `np.int` is a deprecated alias for the builtin `int`. To silence this warning, use `int` by itself. Doing this will not modify any behavior and is safe. When replacing `np.int`, you may wish to use e.g. `np.int64` or `np.int32` to specify the precision. If you wish to review your current use, check the release note link for additional information.\n",
      "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
      "d:\\hongpu_workspace\\hongpu_wheel\\env\\lib\\site-packages\\ipykernel_launcher.py:20: DeprecationWarning: `np.int` is a deprecated alias for the builtin `int`. To silence this warning, use `int` by itself. Doing this will not modify any behavior and is safe. When replacing `np.int`, you may wish to use e.g. `np.int64` or `np.int32` to specify the precision. If you wish to review your current use, check the release note link for additional information.\n",
      "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
      "d:\\hongpu_workspace\\hongpu_wheel\\env\\lib\\site-packages\\ipykernel_launcher.py:22: DeprecationWarning: `np.int` is a deprecated alias for the builtin `int`. To silence this warning, use `int` by itself. Doing this will not modify any behavior and is safe. When replacing `np.int`, you may wish to use e.g. `np.int64` or `np.int32` to specify the precision. If you wish to review your current use, check the release note link for additional information.\n",
      "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n",
      "d:\\hongpu_workspace\\hongpu_wheel\\env\\lib\\site-packages\\ipykernel_launcher.py:23: DeprecationWarning: `np.int` is a deprecated alias for the builtin `int`. To silence this warning, use `int` by itself. Doing this will not modify any behavior and is safe. When replacing `np.int`, you may wish to use e.g. `np.int64` or `np.int32` to specify the precision. If you wish to review your current use, check the release note link for additional information.\n",
      "Deprecated in NumPy 1.20; for more details and guidance: https://numpy.org/devdocs/release/1.20.0-notes.html#deprecations\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x16c701d4608>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# # Read image\n",
    "_img = cv2.imread(\"imori.jpg\").astype(np.int32)\n",
    "# # Affine\n",
    "out = affine(_img, a=1, b=0, c=0, d=1, tx=50, ty=100)\n",
    "plt.imshow(out)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c15a16a2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8c65f60e",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
